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Finding the Fourth Proportional to 6,144.77, 8,480.01 and 3,492.63

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Solution

The fourth proportional to 6,144.77, 8,480.01 and 3,492.63 is: 4,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.77 : 8,480.01 = 3,492.63 : x
  2. Step 2: Convert to fraction form
    6,144.77/8,480.01 = 3,492.63/x
  3. Step 3: Cross multiply
    6,144.77x = 8,480.01 × 3,492.63
  4. Step 4: Simplify right side
    6,144.77x = 29,617,537.33
  5. Step 5: Solve for x
    x = 29,617,537.33/6,144.77
  6. Step 6: Final answer
    x = 4,819.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.